Posted by **student** on Tuesday, July 27, 2010 at 10:06pm.

Let Q be an acute angle such that sinQ=.6. Find the values of the following using Trig Identities: cosQ and tanQ

- trig -
**rick**, Tuesday, July 27, 2010 at 10:12pm
sin^-1(.6) = 36.8 degrees

cos36.8 = .80

tan36.8 = .748

- trig -
**Reiny**, Tuesday, July 27, 2010 at 10:17pm
They probably wanted exact values without using a calculator.

given sinQ = .6 = 6/10 or 3/5

so Q is in a right angled triangle with opposite side of 3 and hypotenuse of 5.

You should recognize the famous 3-4-5 right-angled triangle.

then

cosQ = 4/5 or .8

tanQ = 3/4 or .75

these values are "exact"

- trig -
**bobpursley**, Tuesday, July 27, 2010 at 10:17pm
You can do it this way:

sin^2 + cos^2=1

.36+cos^2=1

solve for cosTheta.

Then finally, tanTheta= sinTheta/CosTheta

- trig -
**student**, Tuesday, July 27, 2010 at 10:18pm
your amazing.

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